Synthesis of digital control systems using discrete Walsh polynomials

DOI10.1080/00207728608926896zbMath0595.93019OpenAlexW1982051983MaRDI QIDQ3727798

Ing-Rong Horng, Shinn-Jang Ho

Publication date: 1986

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207728608926896

zbMATH Keywords

Algorithmsdigital control systemdiscrete Walsh polynomialsdiscrete system transfer functions and state equations

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Synthesis problems (93B50) Model systems in control theory (93C99) Discrete operational calculus (44A55)

Cites Work

• Solving integral equations via Walsh functions
• Walsh series approach to lumped and distributed system identification
• Analysis of time-delay systems via Walsh functions
• Discrete Walsh operational matrices for analysis and optimal control of linear digital systems
• Walsh series analysis in optimal control
• Distributed parameter system identification via Walsh functions
• Analysis and optimal control of time-varying linear systems via Walsh functions
• Bilinear system identification by Walsh functions
• Double Walsh series solution of first-order partial differential equations

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